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Monodromy groups and linearly polymorphic functions
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Weierstrass points, branch points, and moduli of riemann surfaces
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Introduction to Transcendental Numbers
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Differential Analysis on Complex Manifolds
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Vorlesungen über die Hypergeometrische Funktion
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Lehrbuch der Funktionentheorie
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Automorphe Funktionen mit Einschluss der elliptischen Modulfunktionen
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Lineare Differentialgleichungen im komplexen Gebiet
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Ueber Normirung der linearen Differentialgleichungen zweiter Ordnung
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Eine Verallgemeinerung der Abelschen Integrale
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Special coordinate coverings of Riemann surfaces
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Unstable bundles and branched structures on Riemann Surfaces
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Neue Beitr�ge zur Riemann'schen Functionentheorie
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Beitr�ge zur geometrischen Theorie der Schwarz'schens-Function
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Ueber Riemann'sche Formenschaaren auf einem beliebigen algebraischen Gebilde
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�ber Kleinsche Theoreme in der Theorie der linearen Differentialgleichungen
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Handbuch der Theorie der linearen Differentialgleichungen
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Riemannsche Funktionenscharen mit gegebener Monodromiegruppe
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Projective differential geometry of curves and ruled surfaces
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Die geometrische Theorie der Schwarz'schens-Function für complexe Exponenten
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Ueber die algebraischen Functionen und ihre Anwendung in der Geometrie
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Half-order differentials on Riemann surfaces
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Sur les groupes des équations linéaires
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Mémoire sur les fonctions zétafuchsiennes
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Sur les structures homographiques d'une surface deRiemann
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Sur les structures fibrées osculatrices d'une surface deRiemann
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Mémoire sur les fonctions fuchsiennes
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The variational theory of linearly polymorphic functions
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The Schwarzian derivative and uniformization
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Analytic structures on the space of flat vector bundles over a compact riemann surface
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Groupes de Monodromie en Géométrie Algébrique
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Equations Différentielles à Points Singuliers Réguliers
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On Schottky and Teichmüller spaces
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Sir Edmund Whittaker's Work on Automorphic Functions
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Holomorphic differentials as functions of moduli
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Holomorphic fiber bundles over Riemann surfaces
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Monodromy groups for higher-order differential equations
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Branched Structures and Affine and Projective Bundles on Riemann Surfaces
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Uniformization, Moduli, and Kleinian Groups†
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Über eine Anwendung der Integralgleichungen auf ein Problem der Funktionentheorie
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Distortion of length in conformal mapping
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Deformations of Fuchsian groups
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On the differentials associated to congruence relations and the Schwazian equations defining uniformizations
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Lectures on Vector Bundles over Riemann Surfaces. (MN-6), Volume 6
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Quasiconformal Mappings and Teichmüller’s Theorem
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The Conformal Mapping of Riemann Surfaces
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MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS
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The Topology of Fibre Bundles. (PMS-14)
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Zur Theorie der linearen Differentialgleichungen.
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Ueber eine specielle Function, welche bei einer bestimmten linearen Transformation ihres Arguments unverändert bleibt.
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Über simultane lineare Differentialgleichungen.
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Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series
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Ueber die conforme Abbildung mehrfach zusammenhängender ebner Flächen
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Riemann's Mapping Theorem for Variable Metrics
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On Boundaries of Teichmuller Spaces and on Kleinian Groups: I
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Complex-Analytic Properties of Certain Zariski Open Sets on Algebraic Varieties
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On Systems of Multiform Functions Belonging to a Group of Linear Substitutions with Uniform Coefficients
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On Certain Differential Equations of the Second Order Allied to Hermite's Equation
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Zur Kettenbruchentwickelung Hyperelliptischer und Ahnlicher Integrale
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On Continuous Binary Linearoid Groups, and the Corresponding Differential Equations and Λ Functions
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Functions on the Moduli Space of Projective Structures on Curves
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Old and New on the Schwarzian Derivative
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Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective
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A Glimpse into Thurston’s Work
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Monodromy groups of projective structures on punctured surfaces
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Branched ??1-structures on surfaces with prescribed real holonomy
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Polymorphic functions for groups of divergence type
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Polygonal quasiconformal maps and grunsky inequalities
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The variational theory of linearly polymorphic functions
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Analytic Families of Homomorphisms into PSL(2, ℂ)
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On the Boundary Behaviour of Polymorphic Functions
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Local Solutions of wt” + A(z)w = 0 and Branched Polymorphic Functions
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Uniformization of geometric structures with aplications to conformal geometry
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Hyperbolic deformation of the strip-equation and the accessory parameters for the torus
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Complex Projective Structures with Schottky Holonomy
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2 $${\pi}$$ π -Grafting and complex projective structures with generic holonomy
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Bers’ simultaneous uniformization and the intersection of Poincaré holonomy varieties
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Grafting and Poisson Structure in (2+1)-Gravity with Vanishing Cosmological Constant
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Geometrical (2+1)-Gravity and the Chern-Simons Formulation: Grafting, Dehn Twists, Wilson Loop Observables and the Cosmological Constant
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Symplectic geometry of the moduli space of projective structures in homological coordinates
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Real projective structures on Riemann surfaces and new hyper-Kähler manifolds
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Lorentz spacetimes of constant curvature
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Some graftings of complex projective structures with Schottky holonomy
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Minimal surfaces and symplectic structures of moduli spaces
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Heijal’s theorem for projective structures on surfaces with parabolic punctures
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Local deformations of branched projective structures: Schiffer variations and the Teichmüller map
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Branched projective structures, branched $$\mathrm{SO}(3,{\mathbb {C}})$$-opers and logarithmic connections on jet bundle
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Vector bundles and connections on Riemann surfaces with projective structure
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Monodromies of projective structures on surface of finite-type
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Pictorial Representation for Antisymmetric Eigenfunctions of PS–3 Integral Equations
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Real projective connections, V. I. Smirnov’s approach, and black-hole-type solutions of the Liouville equation
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Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems
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Non-perturbative non-integrability of non-homogeneous nonlinear lattices induced by non-resonance hypothesis
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Higher dimensional uniformisation and W-geometry
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Meromorphic projective structures, grafting and the monodromy map
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Real projective structures on a real curve
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Frobenius–Ehresmann structures and Cartan geometries in positive characteristic
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Noncommutative coordinates on Riemann surfaces
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Schottky uniformization and the symplectic structure of the cotangent bundle of a Teichmüller space
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Drilling short geodesics in hyperbolic 3-manifolds
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Circle packings on surfaces with projective structures: a survey
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Grafting and components of quasi-fuchsian projective structures
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Analytic continuation of holonomy germs of Riccati foliations along Brownian paths
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Rigidity of Geometrically Finite Hyperbolic Cone-Manifolds
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Bäcklund transformation and the Painlevé property
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ON PERIODS OF QUADRATIC DIFFERENTIALS
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PS$ _3$ integral equations and projective structures on Riemann surfaces
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Riemann–Hilbert treatment of Liouville theory on the torus
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Riemann–Hilbert treatment of Liouville theory on the torus: the general case
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Periods of abelian differentials and dynamics
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Monodromy groups for higher-order differential equations
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Invariant Measures for Affine Foliations
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Projective structures with discrete holonomy representations
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Prescribed holonomy for projective structures on compact surfaces
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The grafting map of Teichmüller space
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Complex earthquakes and Teichmüller theory
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Cusps in complex boundaries of one-dimensional Teichmüller space
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The monodromy of meromorphic projective structures
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The Conformal Limit and Projective Structures
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Grafting Rays Fellow Travel Teichmuller Geodesics
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Holonomy map fibers of ℂP1-structures in moduli space
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Monodromy groups of CP1‐structures on punctured surfaces
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Holonomy of complex projective structures on surfaces with prescribed branch data
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Exotic projective structures and quasi-Fuchsian space
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Exotic projective structures and quasi-Fuchsian space, II
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The Schwarzian derivative and measured laminations on Riemann surfaces
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Divergence of projective structures and lengths of measured laminations
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MONODROMY GROUPS AND LINEARLY POLYMORPHIC FUNCTIONS
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Projective structures, grafting and measured laminations
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A Schottky decomposition theorem for complex projective structures
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Branched projective structures with Fuchsian holonomy
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The complex symplectic geometry of the deformation space of complex projective structures
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2π–grafting and complex projective structures, I
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Circle packings on surfaces with projective structures and uniformization
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The Monodromy Groups of Schwarzian Equations on Closed Riemann Surfaces
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Brownian motion on foliated complex surfaces, Lyapunov exponents and applications
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Topological aspects of conformally flat manifolds
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Accessory Parameters for Four-Punctured Spheres
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Real Slices of ${\rm SL}(r,\mathbb{C})$-Opers
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Интегральные уравнения ПС$_3$ и проективные структуры на римановых поверхностях
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Система Шлезингера и изомонодромные деформации расслоений со связностями на римановых поверхностях
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О вещественных проективных связностях, подходе В. И. Смирнова и решениях уравнения Лиувилля типа черных дыр
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Circle Packings on Surfaces with Projective Structures
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Projective structures with Fuchsian holonomy
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Convex decompositions of real projective surfaces. I. $\pi$-annuli and convexity
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Grafting, harmonic maps and projective structures on surfaces
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On the symplectic form of the moduli space of projective structures
inferred← citeshttps://doi.org/10.48550/arxiv.0706.3608openalex-snapshot
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Locally homogeneous geometric manifolds
inferred← citeshttps://doi.org/10.48550/arxiv.1310.4763openalex-snapshot
Analytic continuation of holonomy germs of Riccati foliations along Brownian paths
inferred← citeshttps://doi.org/10.48550/arxiv.1401.2449openalex-snapshot
Flat rank 2 vector bundles on genus 2 curves
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Heijal's theorem for parabolic projective structures on non compact surfaces
inferred← citeshttps://doi.org/10.48550/arxiv.1708.09145openalex-snapshot
Bi-Lagrangian structures and Teichmüller theory
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New Kähler metric on quasifuchsian space and its curvature properties
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On Thurston's parametrization of $\mathbb{C}{\rm P}^1$-structures
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Neck-Pinching of $CP^1$-structures in the $PSL(2,C)$-character variety
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On immersions of surfaces into SL(2,C) and geometric consequences
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Immersions of surfaces into SL(2,C) and into the space of geodesics of Hyperbolic space
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Bers' simultaneous uniformization and the intersection of Poincare holonomy varieties
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Complex Chern--Simons bundles in the relative setting
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The monodromy groups of Schwarzian equations on closed Riemann surfaces
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The grafting map of Teichmuller space
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The oriented graph of multi-graftings in the Fuchsian case
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A 3–Manifold with no Real Projective Structure
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Holomorphic 𝔰𝔩 ( 2 , ℂ ) -systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki)
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Singularities for analytic continuations of holonomy germs of Riccati foliations
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Pentagon representations and complex projective structures on closed surfaces
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Moduli spaces of marked branched projective structures on surfaces
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Meromorphic projective structures, opers and monodromy
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Moduli spaces of branched projective structures
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